An application program of a multi-homed host computer at a multi-homed Internet site specifies a destination IP address, a local network interface device and a local site gateway to the network layer of the host computer when establishing a remote TCP connection to the destination IP address, and then the network layer of the operating system of the host computer uses only this specified outbound source path for the remote TCP connection instead of an outbound source path from an operating system supplied routing table. This allows the host application to have control over its remote output paths and provides the host application with the ability to create private remote connections.